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Finding the Fourth Proportional to 13,475.85, 20,205.02 and 6,455.69

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Solution

The fourth proportional to 13,475.85, 20,205.02 and 6,455.69 is: 9,679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,475.85 : 20,205.02 = 6,455.69 : x
  2. Step 2: Convert to fraction form
    13,475.85/20,205.02 = 6,455.69/x
  3. Step 3: Cross multiply
    13,475.85x = 20,205.02 × 6,455.69
  4. Step 4: Simplify right side
    13,475.85x = 130,437,212.26
  5. Step 5: Solve for x
    x = 130,437,212.26/13,475.85
  6. Step 6: Final answer
    x = 9,679.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.